Nonlinear Diffusion: Geodesic Convexity is Equivalent to Wasserstein Contraction
Nonlinear Diffusion: Geodesic Convexity is Equivalent to Wasserstein Contraction
It is well known that nonlinear diffusion equations can be interpreted as a gradient flow in the space of probability measures equipped with the Euclidean Wasserstein distance. Under suitable convexity conditions on the nonlinearity, due to McCann [12 McCann , R. J. ( 1997 ). A convexity principle for interacting …